Thank you for visiting A cylinder shaped candle has a diameter of 5 inches and a height of 8 inches What is the volume of the cylinder Use 3. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To find the volume of a cylinder-shaped candle, you can use the formula for the volume of a cylinder:
[tex]\[ V = \pi \times r^2 \times h \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( r \)[/tex] is the radius of the base, and [tex]\( h \)[/tex] is the height of the cylinder. Let's go through the steps:
1. Find the radius: The diameter of the candle is given as 5 inches. Since the radius is half of the diameter, the radius [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{5}{2} = 2.5 \text{ inches} \][/tex]
2. Use the height: The height [tex]\( h \)[/tex] of the candle is given as 8 inches.
3. Calculate the volume: Plug in the values for [tex]\( r \)[/tex], [tex]\( h \)[/tex], and [tex]\(\pi\)[/tex] (which is approximately 3.14) into the formula:
[tex]\[ V = 3.14 \times (2.5)^2 \times 8 \][/tex]
4. Simplify the calculation:
[tex]\[ V = 3.14 \times 6.25 \times 8 \][/tex]
5. Compute the result:
[tex]\[ V \approx 157 \text{ cubic inches} \][/tex]
After rounding to the nearest tenth, the volume of the cylinder is approximately 157.0 cubic inches.
Therefore, the correct answer from the options provided is [tex]\( \text{157 in}^3 \)[/tex].
[tex]\[ V = \pi \times r^2 \times h \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( r \)[/tex] is the radius of the base, and [tex]\( h \)[/tex] is the height of the cylinder. Let's go through the steps:
1. Find the radius: The diameter of the candle is given as 5 inches. Since the radius is half of the diameter, the radius [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{5}{2} = 2.5 \text{ inches} \][/tex]
2. Use the height: The height [tex]\( h \)[/tex] of the candle is given as 8 inches.
3. Calculate the volume: Plug in the values for [tex]\( r \)[/tex], [tex]\( h \)[/tex], and [tex]\(\pi\)[/tex] (which is approximately 3.14) into the formula:
[tex]\[ V = 3.14 \times (2.5)^2 \times 8 \][/tex]
4. Simplify the calculation:
[tex]\[ V = 3.14 \times 6.25 \times 8 \][/tex]
5. Compute the result:
[tex]\[ V \approx 157 \text{ cubic inches} \][/tex]
After rounding to the nearest tenth, the volume of the cylinder is approximately 157.0 cubic inches.
Therefore, the correct answer from the options provided is [tex]\( \text{157 in}^3 \)[/tex].
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Rewritten by : Jeany
